Polyakov loop fluctuations in Dirac eigenmode expansion
High Energy Physics - Lattice
2015-11-09 v2 High Energy Physics - Phenomenology
Nuclear Theory
Abstract
We investigate correlations of the Polyakov loop fluctuations with eigenmodes of the lattice Dirac operator. Their analytic relations are derived on the temporally odd-number size lattice with the normal non-twisted periodic boundary condition for the link-variables. We find that the low-lying Dirac modes yield negligible contributions to the Polyakov loop fluctuations. This property is confirmed to be valid in confined and deconfined phase by numerical simulations in SU(3) quenched QCD. These results indicate that there is no direct, one-to-one correspondence between confinement and chiral symmetry breaking in QCD in the context of different properties of the Polyakov loop fluctuation ratios.
Cite
@article{arxiv.1505.05752,
title = {Polyakov loop fluctuations in Dirac eigenmode expansion},
author = {Takahiro M. Doi and Krzysztof Redlich and Chihiro Sasaki and Hideo Suganuma},
journal= {arXiv preprint arXiv:1505.05752},
year = {2015}
}
Comments
9 pages, 5 figures